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Unformatted text preview: g using the information you obtained in parts (a) thru (c). (12%) 3. Find the area of the region bounded by the parabola y = x 2 , the tangent line to the parabola at the point ( 3 , 9 ) , and the x-axis. (12%) 4. Find the volume of the solid that is generated by rotating the region bounded by the curves y = x 2 , y = 8-x 2 about the line y =-1. 1 5. (8%) (i) Find the absolute maximum and absolute minimum values of the function f ( x ) = xe-x on the interval [ , 2 ] . (8%) (ii) Evaluate lim x + ( 1 + sin5 x ) cot x . (10%) 6. Prove for all x > 0, x-1 x ln x x-1 . 2...
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This note was uploaded on 04/09/2010 for the course MAT 137 taught by Professor Uppal during the Spring '08 term at University of Toronto- Toronto.
- Spring '08